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Finding the Third Proportional to 571,923.28 and 838,768.92

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Solution

The third proportional to 571,923.28 and 838,768.92 is: 1,230,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,923.28 : 838,768.92 = 838,768.92 : x
  2. Step 2: Convert to fraction form
    571,923.28/838,768.92 = 838,768.92/x
  3. Step 3: Cross multiply
    571,923.28x = 838,768.92 × 838,768.92
  4. Step 4: Simplify right side
    571,923.28x = 703,533,304,303.35
  5. Step 5: Solve for x
    x = 703,533,304,303.35/571,923.28
  6. Step 6: Final answer
    x = 1,230,118.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.